In Fig. 8.57, three coplanar lines intersect at a point O, forming angles as shown in the figure, Find the values of x, y, z and u.

Question

In Fig. 8.57, three coplanar lines intersect at a point O , forming angles as shown in the figure, Find the values of x, y, z and u .

Philoid · Accepted Answer

Since,

Vertically opposite angles are equal

So,

∠BOD = z = 90^o

∠DOF = y = 50^o

Now,

x + y + z = 180^o (Linear pair)

x + 90^o + 50^o = 180⁰

x = 40^o